How to solve 9(3T+5)-5(2T-1)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 9(3T+5)-5(2T-1) | Equatix

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Unit Circle

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Conic Sections

Sequences & Series

Descriptive Statistics

Eigenvalues & Eigenvectors

Linear Transformations

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$9(3T+5)-5(2T-1)$$

Evaluate

$17T+50$

Solution Steps

Use the distributive property to multiply $9$ by $3T+5$.

$$27T+45-5\left(2T-1\right)$$

Use the distributive property to multiply $-5$ by $2T-1$.

$$27T+45-10T+5$$

Combine $27T$ and $-10T$ to get $17T$.

$$17T+45+5$$

Add $45$ and $5$ to get $50$.

$$17T+50$$

Show Solution

Expand

$17T+50$

Solution Steps

Use the distributive property to multiply $9$ by $3T+5$.

$$27T+45-5\left(2T-1\right)$$

Use the distributive property to multiply $-5$ by $2T-1$.

$$27T+45-10T+5$$

Combine $27T$ and $-10T$ to get $17T$.

$$17T+45+5$$

Add $45$ and $5$ to get $50$.

$$17T+50$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Solution Steps

Expand

Solution Steps